How do you simply 2x+8=-6

1 answer:

3 0

To simplify 2x + 8 = -6, the easiest way is to manipulate the equation one step at a time:

2x + 8 = -6
2x = -14 (subtract 8 from both sides)
x = -7 (divide both sides by 2)

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A metallurgist has an alloy with 10% titanium and an alloy with 20% titanium. He needs 100 grams of an alloy with 17% titaniu

ser-zykov [4K]

$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{10\% alloy}&x&0.1&0.1x\\
\textit{20\% alloy}&y&0.2&0.2y\\
-----&-----&-------&-------\\
mixture&100&0.17&17
\end{array}$

now, notice, we use the decimal format for the percent, namely 17% is 17/100 or 0.17 and so on

so.... we know, whatever "x" and "y" is, they must add up to 100 grams
thus x + y = 100

and whatever the concentrated amount is, it must add up to 17 grams for the composition

thus 0.1x + 0.2y = 17

$\bf \begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.1x+0.2y=17\\
----------\\
0.1x+0.2\left( \boxed{100-x} \right)=17
\end{cases}$

solve for "x", to see how much is needed of the 10% alloy

what about "y"? well, y = 100 - x

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